289/288: Difference between revisions

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Name: "minor seconds" > "semitones" since 17/16 and 18/17 can't both be minor 2nds, remove "integer-cent" since "6-cent" is briefer and more informative
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| Monzo = -5 -2 0 0 0 0 2
| Monzo = -5 -2 0 0 0 0 2
| Cents = 6.00082
| Cents = 6.00082
| Name = septendecimal minor seconds comma, <br>septendecimal integer cents comma,<br>septendecimal 6-cent comma
| Name = septendecimal semitones comma, <br>septendecimal 6-cent comma
| Color name = soso comma
| Color name = soso comma
| FJS name = d2<sup>17,17</sup>
| FJS name = d2<sup>17,17</sup>
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}}
}}


'''289/288''', the '''septendecimal minor seconds comma''', is a [[17-limit]] superparticular comma of about 6 cent. It is the difference between [[17/16]] and [[18/17]], as well as between [[17/12]] and [[24/17]]. Tempering it out leads the [[octave]] split into two equal parts, each representing 17/12~24/17. Odd EDOs cannot temper it out.
'''289/288''', the '''septendecimal semitones comma''' or the '''septendecimal 6-cent comma''', is a [[17-limit]] (also 2.3.17 [[subgroup]]) [[superparticular]] [[comma]] of about 6 [[cent]]s. It is the difference between [[17/16]] and [[18/17]], as well as between [[17/12]] and [[24/17]]. Tempering it out leads the [[octave]] split into two equal parts, each representing 17/12~24/17. Odd EDOs cannot temper it out.


== See also ==
== See also ==
 
* [[Small comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]



Revision as of 15:27, 20 August 2021

Interval information
Ratio 289/288
Subgroup monzo 2.3.17 [-5 -2 2
Size in cents 6.000817¢
Names septendecimal semitones comma,
septendecimal 6-cent comma
Color name soso comma
FJS name [math]\displaystyle{ \text{d2}^{17,17} }[/math]
Special properties square superparticular,
reduced
Tenney norm (log2 nd) 16.3449
Weil norm (log2 max(n, d)) 16.3499
Wilson norm (sopfr(nd)) 50
Open this interval in xen-calc

289/288, the septendecimal semitones comma or the septendecimal 6-cent comma, is a 17-limit (also 2.3.17 subgroup) superparticular comma of about 6 cents. It is the difference between 17/16 and 18/17, as well as between 17/12 and 24/17. Tempering it out leads the octave split into two equal parts, each representing 17/12~24/17. Odd EDOs cannot temper it out.

See also